4320631664640 has 624 divisors, whose sum is σ = 15827905716480. Its totient is φ = 1087145902080.

The previous prime is 4320631664567. The next prime is 4320631664647. The reversal of 4320631664640 is 464661360234.

4320631664640 is a `hidden beast` number, since 4 + 3 + 2 + 0 + 631 + 6 + 6 + 4 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4320631664647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921044695 + ... + 921049385.

It is an arithmetic number, because the mean of its divisors is an integer number (25365233520).

Almost surely, 2^{4320631664640} is an apocalyptic number.

4320631664640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4320631664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913952858240).

4320631664640 is an abundant number, since it is smaller than the sum of its proper divisors (11507274051840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4320631664640 is a wasteful number, since it uses less digits than its factorization.

4320631664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 4320631664640 in words is "four trillion, three hundred twenty billion, six hundred thirty-one million, six hundred sixty-four thousand, six hundred forty".